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Finding the Fourth Proportional to 512,499.38, 707,292.88 and 286,188.62

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Solution

The fourth proportional to 512,499.38, 707,292.88 and 286,188.62 is: 394,964.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,499.38 : 707,292.88 = 286,188.62 : x
  2. Step 2: Convert to fraction form
    512,499.38/707,292.88 = 286,188.62/x
  3. Step 3: Cross multiply
    512,499.38x = 707,292.88 × 286,188.62
  4. Step 4: Simplify right side
    512,499.38x = 202,419,169,011.09
  5. Step 5: Solve for x
    x = 202,419,169,011.09/512,499.38
  6. Step 6: Final answer
    x = 394,964.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.